An interior penalty discontinuous Galerkin method for a class of monotone quasilinear elliptic problems
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Publication:5035912
zbMath1499.65658arXiv1401.0339MaRDI QIDQ5035912
Publication date: 22 February 2022
Full work available at URL: https://arxiv.org/abs/1401.0339
interior penalty methods\(hp\)-discontinuous Galerkin methodssecond-order quasilinear elliptic problems
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations (35J62)
Cites Work
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- Mathematical aspects of discontinuous Galerkin methods.
- Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case
- Analysis and application of the IIPG method to quasilinear nonstationary convection-diffusion problems
- A remark on regularization in Hilbert spaces
- Applied functional analysis. Main principles and their applications
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- \(hp\)-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems
- Analysis of the discontinuous Galerkin method for nonlinear convection--diffusion problems
- Interpolation theory over curved elements, with applications to finite element methods
- Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: strongly monotone quasi-Newtonian flows
- Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems
- Some results of bernstein and jackson type for polynomial approximation inL p-spaces
- The $h-p$ version of the finite element method with quasiuniform meshes
- The Optimal Convergence Rate of the p-Version of the Finite Element Method
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions
- An $hp$-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type
- Discontinuous Galerkin Methods for Quasi‐Linear Elliptic Problems of Nonmonotone Type
- On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
- Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case
